Noninstantaneous O(v/c) relativistic effects in bound states and a covariant Schroedinger equation

Journal Article · Tue Apr 15 04:00:00 EST 1980 · Phys. Rev., D; (United States)

DOI:https://doi.org/10.1103/PhysRevD.21.2406· OSTI ID:5447737

Fishbane, P M; Namyslowski, J M

The noninstantaneous and nonlocal interactions which follow from Weinberg-type dynamics are found to produce v/c relativistic corrections to potentials which are nonrelativistic limits of certain field-theoretic dynamics. Such corrections may be applicable in, for example, phenomenological models of charmonium. These interactions are driving terms in a covariant three-dimensional two-body integral equation derivable from field theory. For bound systems this equation is a fully covariant Schroedinger equation, with spacelike relative momentum and a proper angular resolution. We study this equation, including its systematic relativistic corrections, in various limits based on scalar-particle-exchange dynamics. We compare and contrast it to a related but different three-dimensional equation derivable from field theory which represents an equal-time projection. We also comment on other approaches to the relation between relativistic and nonrelativistic dynamics.

• Research Organization: Physics Department, University of Virginia, Charlottesville, Virginia 22901
• OSTI ID: 5447737
• Journal Information: Phys. Rev., D; (United States), Journal Name: Phys. Rev., D; (United States) Vol. 21:8; ISSN PRVDA
• Country of Publication: United States
• Language: English

Related Subjects

645400* -- High Energy Physics-- Field Theory
657002 -- Theoretical & Mathematical Physics-- Classical & Quantum Mechanics
71 CLASSICAL AND QUANTUM MECHANICS
GENERAL PHYSICS
72 PHYSICS OF ELEMENTARY PARTICLES AND FIELDS
ASYMPTOTIC SOLUTIONS
BETHE-SALPETER EQUATION
BOUND STATE
CHARMONIUM
CORRECTIONS
COUPLING CONSTANTS
DIFFERENTIAL EQUATIONS
ENERGY RANGE
EQUATIONS
FIELD THEORIES
FUNCTIONS
GENERAL RELATIVITY THEORY
GREEN FUNCTION
MATRICES
NONLOCAL POTENTIAL
PERTURBATION THEORY
POTENTIALS
QUANTUM FIELD THEORY
QUARKONIUM
RELATIVISTIC RANGE
RELATIVITY THEORY
S MATRIX
SCHROEDINGER EQUATION
TIME DEPENDENCE
WAVE EQUATIONS